To regain or recover something lost, especially money or resources. The company managed to recoup its losses after the successful product launch.
To reimburse or compensate for something. The insurance policy will recoup the costs of the damage caused by the storm.
To withhold or deduct (an amount) from a payment due in order to reimburse oneself for an earlier outlay or loss. The publisher may recoup the advance from the author's future royalties.