Recent pupil pines for the quadrangles (7)
I believe the answer is:
oblongs
'the quadrangles' is the definition.
The answer and definition can be both shapes as well as being plural nouns.
Maybe there's an association between them I don't understand?
'recent pupil pines' is the wordplay.
'recent pupil' becomes 'ob' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'pines' becomes 'longs' ('long' can be a synonym of 'pine').
'ob'+'longs'='OBLONGS'
'for' acts as a link.
Can you help me to learn more?
(Another definition for oblongs that I've seen is " Rectangles".)