Flat cap unwrapped — type of paper tricky at first for companion (9)

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

[c]-A-[p] without outer letters/”unwrapped”, plus PAR-CH-MENT=”type of paper” with the “first” of T-[ricky] inserted in place of/”for” CH (Companion of Honour)