How fast will I get paid out after a client pays?

Payout timing depends entirely on your payment provider, not on Kliently. Because the money goes straight to your own Stripe, PayPal, Razorpay, SSLCommerz, or Wise account, your payout schedule is whatever that provider gives you.

Stripe, for example, follows its own rolling payout schedule for your country; UPI through Razorpay settles on Razorpay's terms; bKash and Nagad via SSLCommerz settle on theirs. Kliently records the payment against the invoice the moment it clears, but the actual deposit into your bank is handled by your provider. Check their dashboard for exact timing.