The result is that it could cost you more than $0.05 to send $0.05.
Five dollar cent is about 0.1 milli Bitcoin. You can transfer that with a lower transaction fee, it just takes longer.
Keep in mind that receiving (many) 0.1mBTC transactions means you need a higher fee to send them again, as the small inputs make the transaction larger (in bytes).
For small transactions altcoins are actually a lot cheaper. Doge for instance gets you 220 Doge coins for 5 cents, and the transaction fee would only be 1 Doge. So 0.5% fee vs. around 100% fee in Bitcoin.
My advice: don't make very small transactions in Bitcoin.