Star taken round hospital, being hurt (4)
I believe the answer is:
ache
'hurt' is the definition.
('ache' can be a synonym of 'hurt')
'star taken round hospital' is the wordplay.
'star' becomes 'ace' ('ace' can be a synonym of 'star').
'taken round' indicates putting letters inside.
'hospital' becomes 'h'.
'ace' enclosing 'h' is 'ACHE'.
'being' is the link.
(Other definitions for ache that I've seen before include "Continuous hurt" , "Throb - hurt" , "Similar" , "Cause pain" , "Play up" .)