Plain meaning
Start with the shortest useful explanation before going deeper.
The permission granted to a program or delegate address to spend a specified amount of tokens from your account on your behalf. Token approvals are necessary for DeFi interactions like swapping or depositing into liquidity pools. On Solana, the SPL Token program's approve instruction sets a delegate and approved amount on a token account. Approvals should be set to the minimum needed and revoked when no longer required to limit exposure to potential exploits.