Depending on how quickly the Allies clear the Italians out of Libya (and East Africa) I see them looking back toward Norway as an obvious destination, particularly once the Germans invade the Soviet Union. Not an attempt to clear the whole country but definitely using their overwhelming naval superiority to recapture Narvik and then northern slice of the country.
Would the RN want to try to attack Norway if they are opposed by a decent number of German Aircraft? The RN is pretty lean on a decent quality and quantity of carrier based fighters in 1941 and some of Fliegerkorps X's naval attack aircraft could be based in Norway to supplement Fliegerkorps V if there is no North African front and no need for the Germans to interdict convoys to Malta / through the Central Med.Getting an Allied foothold in Northern Norway and removing the Luftwaffe up there would be a big help for the Murmansk convoys. They'd still need to worry about UBoats and surface ships, but reducing the reach of the Lutfwaffe would make life a bit easier.