You will get a reply from YourSafe within 2-3 weeks of your account being frozen. The reply will ask for additional documents and explanations regards incoming transactions on your account.
Once you send these it will take another 2 weeks or so for your answers to be reviewed. Then, as long as your use of the account is within their T&C and you have provided documents to show that is the case, the account will be unfrozen.
There is no way to speed up the procedure unfortunately, as is the case with just about every bank or EMI.