I tested the shift wallet at
https://wallet.shiftnrg.org. Sending shift from exchange to wallet is quick, it took only minutes. But sending shift back to the exchange seems to take much longer. over 20 minutes.
Exchanges usually have wait for a certain number of confirmations before crediting your account there. The number of confirmations depends on the currency and exchange.
With Bittrex, you can normally see that you have incoming funds from the first confirmation, and how many confirmations until it is available to you.
Last time I used Livecoin, I remember not seeing anything showing up for maybe 30 minutes, and then suddenly, it's there. I suppose Livecoin wasn't scanning their SHIFT wallet as often.
Just make sure to send to the correct address. If you see the transaction in the explorer. The exchange has most likely seen it too.