tergiversate

ter·gi·ver·sate

ˈtərjəvərˌsāt,ˌtərjəˈvərˌsāt/

verb

1. 1.

   make conflicting or evasive statements; equivocate.

   "the more she tergiversated, the greater grew the ardency of the reporters for an interview"
2. 2.

   change one's loyalties; be apostate.