Clumsy enough to spill a pint around closing time (5)

I believe the answer is:

inept

I'm a little stuck... Click here to teach me more about this clue!

'clumsy' is the definition.
(synonyms)

'pint around closing time' is the wordplay.
'around' says to take the centre.
'closing' becomes 'ep' (I can't justify this - if you can you should believe this answer much more).
'time' becomes 't' (abbreviation).
The middle letters of 'pint' are 'in'.
'in'+'ep'+'t'='INEPT'

'enough to spill a' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for inept that I've seen before include "Foolish" , "Not competent" , "Blundering" , "Silly or senseless" , "Unsuitable, clumsy" .)

I've seen this clue in the Evening Standard.

Want a hint initially instead of a full solution? Install my app