They can give amounts which are lower than that but the question now is what is the next waiting time for this once we claimed this $0.01.
The cooldown periods between claims and other requirements are explained in the table in OP. Check out the "Requirement" column. When it comes to Trustdice, you can make a claim once every 6 hours. That's for the lowest account levels. If you rank up, you can claim more often. Once every 1 hour might be the maximum though.