Director mostly agreed to go round Welsh island (8)
I believe the answer is:
anglesey
'welsh island' is the definition.
(I've seen this before)
'director mostly agreed to go round' is the wordplay.
'director mostly' becomes 'angle' (I can't justify this - if you can you should give a lot more credence to this answer).
'agreed' becomes 'yes' ('agreed' can mean 'yes').
'to go round' says the letters should be written backwards (I've seen 'going round' mean this).
'yes' in reverse letter order is 'sey'.
'angle'+'sey'='ANGLESEY'
Can you help me to learn more?
(Other definitions for anglesey that I've seen before include "Island off N.Wales" , "Welsh county" , "Some Welsh ground" , "Island of North Wales" , "part of North Wales" .)