Under-the-table payment is a term used to describe payments made in secret, often for illegal activities. The two crossword solutions for this term are 'BRIBE' and 'hushmoney'. A BRIBE is a payment made to influence the recipient's behavior, while hush money is a payment made to keep someone quiet about something. Both of these terms are related to under-the-table payments as they involve secrecy and often involve illegal activities.