Stroll round Minehead, having the power (5)
I believe the answer is:
amble
'stroll' is the definition.
(synonyms)
'round minehead having the power' is the wordplay.
'round' indicates putting letters inside.
'minehead' becomes 'm' (head letter of 'mine').
'having the power' becomes 'able' (I've seen this in another clue).
'm' put inside 'able' is 'AMBLE'.
(Other definitions for amble that I've seen before include "Wander casually" , "Blame (anag.)" , "Make slow progress" , "Take leisurely stroll" , "Walk in a leisurely way" .)