Shropshire University College erected domes (7)

I believe the answer is:

cupolas

'domes' is the definition.
(cupola is a kind of dome)

'shropshire university college erected' is the wordplay.
'shropshire' becomes 'salop' (I've seen this before).
'university' becomes 'u'.
'college' becomes 'c'.
'erected' is a reversal indicator.
'salop'+'u'+'c'='salopuc'
'salopuc' in reverse letter order is 'CUPOLAS'.

(Another definition for cupolas that I've seen is " Onion-domes".)

I've seen this clue in The Telegraph.

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