Can i save fees by transferring ETH from Binance to Metamask?

I have ETH on Binance and want to transfer it to Metamask. If i use the Ethereum Network i have to pay a relative insanse fee for the transaction.

My idea is to transfer from Binance to Binance Chain but i can not find the token to add on the Binace Smart Shain, in conlussion is it even possible?

Thanks

thanks :slight_smile: what means pegged ETH? I can not find the token on my Binance Chain within Metamaskā€¦on Ethereum Main Network was quite easy