recoup

Short definition from Wiktionary

Verb

1. 1
   To make back (an investment or similar).
2. 2
   To recover from an error.
3. 3
   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.
4. 4
   To reimburse; to indemnify; often used reflexively and in the passive voice.