Wrist tingling

My right wrist has started tingling sometimes when I bench press. The amount of tingling, if any, seems dependent on my hand position. I have no other hand or wrist symptoms and this only happens when bench pressing. I haven’t experienced the issue with overhead presses or DB bench presses, which would seem very similar movements.

Do you have any suggestions?

You could try to vary your bench grip (position width perhaps, amount of wrist flexion/extension, etc). You can also see if this is occurring at particular loads.