LendingClub says it can take up to “a few days” to deposit money after they approve an application, depending on the bank the borrower uses. The funds are sent as a direct deposit to the borrower's bank account, and some banks may not process the transaction as quickly as others. But the whole process, from application to receiving the funds, generally takes 7 business days or fewer (sometimes as few as 4 calendar days).
Keep in mind that there's a difference between a LendingClub loan being “funded” and the money being deposited. LendingClub is a peer-to-peer lending site, so each loan request needs investors to commit to paying out the loan. In some cases, investors may commit to funding the loan before LendingClub gives final approval for the loan to proceed. In that case, you'll have to wait for the loan to be approved, and then may need to wait an additional few days for the money to move to your bank.
You should also keep in mind that the interest on your LendingClub loan starts accruing as soon as you receive final approval. That means you may start owing interest a few days before the money gets deposited in your bank account. Your first payment is also due one month from the approval date.