Does it ever happen with the vehicle parked, idling or giving it a little gas? If so, suspect some belt driven component. Check your power steering reservoir if hydraulic instead of electric. It would have helped if you had mentioned make/model/year of vehicle.
Squealing and clunk could be two different things. Was a new belt tensioner put on? After a certain # of miles, it is good to go ahead and replace the tensioner when the belt is replaced, depends on the particular engine but generalizing I'd replace the tensioner too if it's over 75K mi.
Clunk turning is more likely sway bar mounts or end links, or ball joint, or shot control arm bushings, or strut towers, unless it's a repetitive clicking sort of clunk then maybe CV axle. This assumes no collsions which could put the suspension geometry in a bind or break something.
Jack it up, pull the wheel, inspect and poke/pull/pry (including during and after a helper (if available) is turning the steering wheel to that direction) on suspension components.