Binance is in on giving some Hive to its client but the press release said that they would only enable withdrawals but not trading until the currency was proven to meet Binance's standards. I'm guessing it will in time but it's not assured yet.

• For the trading and listing of HIVE on Binance, HIVE will go through the same strict listing review process as Binance does for any other coin/token. Supporting this hard fork does not guarantee the listing of HIVE.
• HIVE tokens will be distributed to users and withdrawals will open once the forked blockchain is deemed to be stable and secure.

https://www.binance.com/en/support/articles/360040692692