Former university cuts, not a moment too soon (2,3)
I believe the answer is:
on cue
'a moment too soon' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.
'former university cuts' is the wordplay.
'former' becomes 'once' (synonyms).
'university' becomes 'U' (abbreviation as in UMass).
'cuts' indicates putting letters inside (a group of letters 'cuts' into another word).
'once' going around 'u' is 'ON CUE'.
'not' is the link.
Can you help me to learn more?
(Other definitions for on cue that I've seen before include "you can find chalk here" , "Where a tip is appearing" , "Where chalk may be put" , "at the appropriate time" , "At the correct moment, like actor prompted to speak" .)