Chase me round stud (6)
I believe the answer is:
emboss
'chase' is the definition.
(thesaurus)
'me round stud' is the wordplay.
'round' shows that the letters should be reversed in order.
'stud' becomes 'boss' ('boss' can be a synonym of 'stud').
'me' reversed gives 'em'.
'em'+'boss'='EMBOSS'
(Other definitions for emboss that I've seen before include "Decorate with riased design" , "Bring about relief" , "Carve etc so as to raise from surface" , "Carve or mould a design to stand out in relief" , "Chase" .)