Crossword Genius

College gym by end of term in financial difficulties? (8)

Ross

I believe the answer is:

pembroke

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

'college' is the definition.
(I've seen this before)

'gym by end of term in financial difficulties?' is the wordplay.
'gym' becomes 'pe' (short for Physical Education).
'by' is a charade indicator (letters next to each other).
'end of' suggests the final letters.
'in financial difficulties?' becomes 'broke' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
The final letter of 'term' is 'm'.
'pe'+'m'+'broke'='PEMBROKE'

Can you help me to learn more?

(Other definitions for pembroke that I've seen before include "Oxford college; small table" , "An Ox., a Camb. college; Welsh town, castle" , "Former Welsh county" , "Two Oxbridge colleges; a shire" , "Welsh port" .)

I've seen this clue in The Guardian.
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