Piece Word

WITH the help of the Across clues only, can you fit the pieces into their correct positions in the grid?

ACROSS 1 Desk 2 Infrequently 3 Mournful 4 Made snake noises 5 Rice‑based dish 6 Nephew’s sister 7 Bedding item 8 Popular caged pet 9 Nut variety 10 Plane’s personnel 11 Affected person 12 Cut gnashers