Covered state and local employees may-
* run for public office in nonpartisan elections
* campaign for and hold office in political clubs and organizations
* actively campaign for candidates for public office in partisan and nonpartisan elections
* contribute money to political organizations and attend political fundraising functions
Now, being Federal and written by lawyers, I've little doubt any of the act is so cut and dried. What I see above, says he can campaign if he wants. That's entirely too simple though. No Fed law is ever written to be easily understandable to human beings.