I just checked with the City of Clearwater about legal construction hours after an inquiry by a home owner.
Start up time is 7am, ending time is 6 pm. This is primarily for noise abatement. If you experience a problem with construction noise before or after these times, you call the police and make a report. Do not call the city.
We have not been having a problem with this issue, but as the drier months begin, it is a good reminder of the rules.