diff --git a/narwhals/_duckdb/dataframe.py b/narwhals/_duckdb/dataframe.py
index 82ac6d41b..5bd7af153 100644
--- a/narwhals/_duckdb/dataframe.py
+++ b/narwhals/_duckdb/dataframe.py
@@ -90,6 +90,22 @@ def __getitem__(self, item: str) -> DuckDBInterchangeSeries:
             self._native_frame.select(item), dtypes=self._dtypes
         )
 
+    def select(
+        self: Self,
+        *exprs: Any,
+        **named_exprs: Any,
+    ) -> Self:
+        if named_exprs or not all(isinstance(x, str) for x in exprs):  # pragma: no cover
+            msg = (
+                "`select`-ing not by name is not supported for DuckDB backend.\n\n"
+                "If you would like to see this kind of object better supported in "
+                "Narwhals, please open a feature request "
+                "at https://github.com/narwhals-dev/narwhals/issues."
+            )
+            raise NotImplementedError(msg)
+
+        return self._from_native_frame(self._native_frame.select(*exprs))
+
     def __getattr__(self, attr: str) -> Any:
         if attr == "schema":
             return {
@@ -120,3 +136,6 @@ def to_pandas(self: Self) -> pd.DataFrame:
 
     def to_arrow(self: Self) -> pa.Table:
         return self._native_frame.arrow()
+
+    def _from_native_frame(self: Self, df: Any) -> Self:
+        return self.__class__(df, dtypes=self._dtypes)
diff --git a/narwhals/_ibis/dataframe.py b/narwhals/_ibis/dataframe.py
index a9c3a49fa..c8a665db0 100644
--- a/narwhals/_ibis/dataframe.py
+++ b/narwhals/_ibis/dataframe.py
@@ -85,6 +85,24 @@ def to_pandas(self: Self) -> pd.DataFrame:
     def to_arrow(self: Self) -> pa.Table:
         return self._native_frame.to_pyarrow()
 
+    def select(
+        self: Self,
+        *exprs: Any,
+        **named_exprs: Any,
+    ) -> Self:
+        if named_exprs or not all(isinstance(x, str) for x in exprs):  # pragma: no cover
+            msg = (
+                "`select`-ing not by name is not supported for Ibis backend.\n\n"
+                "If you would like to see this kind of object better supported in "
+                "Narwhals, please open a feature request "
+                "at https://github.com/narwhals-dev/narwhals/issues."
+            )
+            raise NotImplementedError(msg)
+
+        import ibis.selectors as s
+
+        return self._from_native_frame(self._native_frame.select(s.cols(*exprs)))
+
     def __getattr__(self, attr: str) -> Any:
         if attr == "schema":
             return {
@@ -98,3 +116,6 @@ def __getattr__(self, attr: str) -> Any:
             "at https://github.com/narwhals-dev/narwhals/issues."
         )
         raise NotImplementedError(msg)
+
+    def _from_native_frame(self: Self, df: Any) -> Self:
+        return self.__class__(df, dtypes=self._dtypes)
diff --git a/tests/frame/interchange_select_test.py b/tests/frame/interchange_select_test.py
new file mode 100644
index 000000000..e124735f7
--- /dev/null
+++ b/tests/frame/interchange_select_test.py
@@ -0,0 +1,46 @@
+from __future__ import annotations
+
+import duckdb
+import polars as pl
+import pytest
+
+import narwhals.stable.v1 as nw
+
+data = {"a": [1, 2, 3], "b": [4.0, 5.0, 6.1], "z": ["x", "y", "z"]}
+
+
+def test_interchange() -> None:
+    df_pl = pl.DataFrame(data)
+    df = nw.from_native(df_pl.__dataframe__(), eager_or_interchange_only=True)
+    with pytest.raises(
+        NotImplementedError,
+        match="Attribute select is not supported for metadata-only dataframes",
+    ):
+        df.select("a", "z")
+
+
+def test_interchange_ibis(
+    tmpdir: pytest.TempdirFactory,
+) -> None:  # pragma: no cover
+    ibis = pytest.importorskip("ibis")
+    df_pl = pl.DataFrame(data)
+
+    filepath = str(tmpdir / "file.parquet")  # type: ignore[operator]
+    df_pl.write_parquet(filepath)
+
+    tbl = ibis.read_parquet(filepath)
+    df = nw.from_native(tbl, eager_or_interchange_only=True)
+
+    out_cols = df.select("a", "z").schema.names()
+
+    assert out_cols == ["a", "z"]
+
+
+def test_interchange_duckdb() -> None:
+    df_pl = pl.DataFrame(data)  # noqa: F841
+    rel = duckdb.sql("select * from df_pl")
+    df = nw.from_native(rel, eager_or_interchange_only=True)
+
+    out_cols = df.select("a", "z").schema.names()
+
+    assert out_cols == ["a", "z"]