tergiversate
verb
[ ˈtəːdʒɪvəˌseɪt ]
• make conflicting or evasive statements; equivocate.
• "the more she tergiversated, the greater grew the ardency of the reporters for an interview"
• change one's loyalties; abandon a belief or principle.
Origin:
mid 17th century: from Latin tergiversat- ‘with one's back turned’, from the verb tergiversari, from tergum ‘back’ + vertere ‘to turn’.