1
He gave me a quick wink.
To sign this, you would set up the subject by signing 'he', then use the sign for 'give', and finally perform the 'wink' sign by pinching the index and thumb of one hand near your eye. Add a playful facial expression to convey the mood.
2
I winked at her across the room.
First, point to yourself to indicate 'I', then perform the 'wink' sign. While signing 'wink', make sure to look directly in the direction of the person you are referring to, and follow up by pointing at 'her' to establish exactly who received the wink.
3
Can you wink your left eye?
Start by signing 'you' and 'can'. Then, to specify the left eye, perform the 'wink' sign by intentionally keeping your right hand open and pinching the index and thumb of your left hand closed. Raise your eyebrows to indicate you are asking a yes/no question.