Would a British foothold in Norway keep Chamberlain in office?

If Britain retains part of Norway, is Winston Churchill still likely to replace Neville Chamberlain?

Perhaps, but a fleet victory and surviving foothold make Chamberlain's fall much less certain than it was historically.

The counterfactual changes the political meaning of the Norwegian campaign as well as its naval result. Chamberlain may still fall, but a Royal Navy fleet victory and an Allied position remaining in Norway would deny critics the same unambiguous disaster. German overreaction to a naval reverse could further improve the British position ashore. Churchill's accession remains plausible without being automatic on the historical timetable.