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' indicates putting letters inside (some letters on the outside of others).
'the medical centre' becomes 'i' (I am not sure about this - if you are sure you should believe this answer much more).
'sped' going around 'i' is 'SPIED'.
'to have' is the link.
Can you help me to learn more?
(Other definitions for spied that I've seen before include "Caught sight of" , "Spotted" , "Seen" , "Was a secret agent" , "Noticed" .)