The thumb and first finger of your hand should be used to hold the cue. The other three fingers serve as support. Eighty percent of the grip comes from the first finger and thumb known as the ring.
In the address position, you should only use enough strength so as not to let the cue slide through your fingers. The grip should be hanging vertically down from your elbow.
It is not a major problem if you naturally turn your wrist inwards or outwards when cueing straight because with practice you can develop this style of cue delivery.
Your wrist should be perfectly still during your delivery, except for the forward and backward movements at the line of aim.
Most players make the mistake of gripping the cue tightly during play. As you follow through, your elbow should drop on impact.
This will ensure that your elbow, arm, and hand all work in harmony to improve your timing. Using your little finger to initiate the opening of your grip will prevent you from automatically lifting your cue off the line if your grip is too tight or does not open. During your cue action, allow your knuckles to move up and down to open and close the grip properly. A straight level line is the key to delivering the cue along the line of aim when using the grip.