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' is an insertion indicator.
'minehead' becomes 'm' (head letter of 'mine').
'having the power' becomes 'able' (I've seen this in another clue).
'm' going within '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" .)