I don't think restarting NTP should have any impact on GTM. You can check ntp using these links:
http://devcentral.f5.com/Forums/tabid/53/aft/59890/Default.aspx59899
SOL10240: Verifying Network Time Protocol peer server communications
https://support.f5.com/kb/en-us/solutions/public/10000/200/sol10240.html
Searching for ntpq also returns this related solution:
SOL7017: The BIG-IP ntpd daemon is unable to communicate with the NTP server
https://support.f5.com/kb/en-us/solutions/public/7000/000/sol7017.html
If you get stuck on this, you might try searching online for related docs or opening a case with F5 Support.
Aaron