Seen to have rushed out of the medical centre (5)
I believe the answer is:
spied
'seen' is the definition.
(I've seen this before)
'rushed out of the medical centre' is the wordplay.
'rushed' becomes 'sped' ('speed' can be a synonym of 'rush').
'out of' means one lot of letters goes inside another.
'centre' indicates the central letters.
The central letter of 'medical' is 'i'.
'sped' placed around 'i' is 'SPIED'.
'to have' is the link.
(Other definitions for spied that I've seen before include "Caught sight of" , "Spotted" , "Seen" , "Was a secret agent" , "Noticed" .)