No, TimeLog does not want your employees to sign a contract.
As you are collecting data about your employees, we recommend that you inform your employees that you are collecting data about them and why you are doing it.
You should get consent to collect data about your employees.
GDPR is solely a process between you and your employees. That said, as data processors we are obligated to guide you in how you should relate to GDPR.
These recommendations will be part of our data processing agreement, so we live up to our responsibility as a data processor.