Run into an artist at Minehead (3)
I believe the answer is:
ram
'run into' is the definition.
(thesaurus)
'an artist at minehead' is the wordplay.
'an artist' becomes 'ra' (Royal Academician, member of Royal Academy of Arts).
'at' says to put letters next to each other.
'minehead' becomes 'm' (head letter of 'mine').
'ra'+'m'='RAM'
(Other definitions for ram that I've seen before include "Bump into forcibly" , "barge" , "Deliberately collide with" , "Temporary computer memory, initially" , "farm animal" .)