Clearly I choose the best record to spin before date with disheartened lady (10)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

PELLUCI (I + CULL (=choose the best) + EP (=record, i.e. an extended-play record); “to spin” indicates reversal) + D (=date) + L <ad> Y (“disheartened” means all middle letters are dropped)