prevaricate, equivocate, vacillate, quibble, hesitate, stall, evade the issue, dodge the issue, fudge the issue, sidestep the issue, be non-committal, be evasive, be indecisive, be vague, hedge one's bets, beat about the bush, parry questions, pussyfoot around, mince one's words, shilly-shally;

British hum and haw

informal sit on the fence, duck the question

British informal waffle, flannel

rare tergiversate