TimeSolv uses compound interest, as opposed to simple interest. Compound interest is based on the principal amount and the interest that accumulates on it in every period. In short, your clients will be charged interest on top of interest.
Interest is calculated based on the percentage you assign (please see this article on how to turn interest on and how to assign that percentage). Interest is assigned at that percentage for anything that is due over their grace period time.
If interest is unpaid, it becomes a balanced owed, so you would get charged interest on top of interest because it is calculated on the balance owed.
For example, if your invoices give a 30 day grace period, then no interest is calculated within the first 30 days. On day 31, it would start to calculate interest on the unpaid balance owed at the percentage that you have assigned it.