Bitcoin transactions normally take about 30 to 60 minutes to send, on occasion it can take a few hours if the Bitcoin network is slow. See why it sometimes takes longer.
Localbitcoins wallet is a web wallet - outgoing bitcoin addresses are not connected to your account. If you are asking for a refund from a merchant, please ask them to send the refund to your receiving address.
When sending from LocalBitcoins wallet, a bitcoin network fee is reserved and deducted from your balance. Transactions to wallets of other LocalBitcoins users are free.
Current outgoing transaction fee: 0.00005072 BTC