Instrument, made in Britain, displayed by Limerick university at half-eleven (7)
I believe the answer is:
ukulele
'instrument' is the definition.
(ukulele is a kind of instrument)
'britain displayed by limerick university at half-eleven' is the wordplay.
'britain' becomes 'UK' (synonyms).
'displayed by limerick university' becomes 'ul' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'at' says to put letters next to each other.
'half' indicates taking half.
'eleven' halved is 'ele'.
'uk'+'ul'+'ele'='UKULELE'
'made in' acts as a link.
Can you help me to learn more?
(Other definitions for ukulele that I've seen before include "George Formby's little guitar" , "Small, four-stringed guitar" , "Small type of guitar" , "Small 4-stringed guitar" , "Instrument from Hawaii" .)