Gallery lost half of Caravaggio works (6)

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

L (abbreviation for lost, as in records of a sports team’s recent results: W3, D1, L2) + anagram (works) of the second half of [carav] AGGIO . Loggia = an open balcony in a theatre = gallery. (Or a covered arcade attached to a building.)