Agreeable set touring part of UK (9)
I believe the answer is:
congenial
'agreeable' is the definition.
('congenial' can be a synonym of 'agreeable')
'set touring part of uk' is the wordplay.
'set' becomes 'congeal' ('congeal' can be a synonym of 'set'**).
'touring' is an insertion indicator (touring can mean going round).
'part of uk' becomes 'ni' (Northern Ireland).
'congeal' enclosing 'ni' is 'CONGENIAL'.
(Other definitions for congenial that I've seen before include "Harmonious and friendly" , "Suited to one's taste" , "Pleasant and agreeable" , "Having similar interests" , "relaxing" .)