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' indicates the answer is hidden within the clue.
'RINGO' is hidden within '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" .)