Seen to have rushed round the medical centre (5)
I believe the answer is:
spied
'seen' is the definition.
(I've seen this before)
'rushed round the medical centre' is the wordplay.
'rushed' becomes 'sped' ('speed' can be a synonym of 'rush'**).
'round' is an insertion indicator.
'centre' says to take the centre.
The middle letter of 'medical' is 'i'.
'sped' going around 'i' is 'SPIED'.
'to have' is the link.
(Other definitions for spied that I've seen before include "Caught sight of" , "Watched secretly" , "Was a secret agent" , "Noticed" , "Saw" .)