I have about $30 in Binance crypto dust because in he early days I was moving currency around between a lot of altcoins. One option on Binance - for the coins that they have pairs for - is to use BNB (Binance coin) because you will only pay 50% of the standard fee. Unfortunately, the dust issue hasn't yet been solved - but on the Binance subreddit, the official crew has stated they are working on a solution, though the ETA is vague.
Robinhood - the zero fee market - will help solve this, but for the meantime, be mindful - especially those of you just getting started with trading on Binance and similar fee-based exchanges.