Webster's Revised Unabridged Dictionary · 1913

Recoup

Recoup (-k??p") , transitive verb

[French recouper; pref. re- re- + couper to cut.]

1.
(Law) To keep back rightfully (a part), as if by cutting off, so as to diminish a sum due; to take off (a part) from damages; to deduct; as, where a landlord recouped the rent of premises from damages awarded to the plaintiff for eviction.
2.
To get an equivalent or compensation for; as, to recoup money lost at the gaming table; to recoup one's losses in the share market.
3.
To reimburse; to indemnify; -- often used reflexively and in the passive.
Elizabeth had lost her venture; but if she was bold, she might recoup herself at Philip's cost. — Froude
Industry is sometimes recouped for a small price by extensive custom. — Duke of Argyll

Also: Recoupe