Drummer from Dover in Gosport (5)
I believe the answer is:
ringo
'drummer' is the definition.
(Ringo Starr)
'from dover in gosport' is the wordplay.
'from' says the answer is hidden in the clue.
'RINGO' can be found hidden inside 'dover in gosport'.
(Other definitions for ringo that I've seen before include "Beatles drummer" , "Member of group" , "Starr drummer" , "Beatle Starr" , "The drumming Beatle" .)