If you recoup a sum of money that you have spent or lost, you get it back. Insurance companies are trying to recoup their losses by increasing premiums. = recover. to get back an amount of money you have lost or spent = recover (recouper , from couper )
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