Dust and super small transactions should be pushed to an altcoin, there is no reason to keep them on Bitcoin and pay fees higher than what you are sending to get it through in a decent amount of time.
Why a Alt coin? Both parties know each other, so they just signup with Xapo or another off-chain solution and transfer the money at almost ZERO fees and it is instant. You can keep it in Xapo, but if you want to use it for something else, you will have to take it back on the Blockchain, and that will cost you some miners fees. A lot of people have Xapo, so you can pay with off-chain services like this or you can use their debit card. < This has fees >
Atleast this way, it stays within Bitcoin and no obscure Alt coin. ^hmmmm^