The problem is most likely a loose belt, this will happen when steering piston and pump is under a load as in turning. More torque is required to spin pulley.
Your Axle
It is most likely due to a loose power steering belt. If the steering wheel is hard to turn at speeds slower than 40mph or it gets harder the more you turn it and the squeaking noise happens when you turn the wheel, then you need to check the tension on the power steering belt.
try checking fluid level
Power steering belt.
Can be defective wheel bearing, or worn brake pads. You might also want to check the power steering fluid level. Low PS fluid level will cause the pump to squeal.
Without seeing it , I will tell you that most of the time wheel noise that happens when you turn the wheel is due to a CV axle that is failing. Test is this way: go into a large vacant parking lot and turn the wheels to the right and go in reverse; is the noise worse? It may be if the joint is bad.Usually a wheel bearing will make a low growling noise; but you called it a squealing noise. I hope this helps a little.
Power Steering?
metal, right? Sounds like metal, yes.
IT COULD BE A WHEEL BEARING THAT IS BEGINNING TO GO OR the constant velocity shaft of the fwd unit. If you start hearing a "clunking" noise when you turn it's the shaft. In any event, it needs to be checked out by a good mechanic
If your Honda Civic is squeaking when you turn the steering wheel then it could be the belt to the power steering pump that needs replacing.
it sounds to be as if your power steering pump is out or low on fluid.
If its front wheel drive possibly an axle.