Strength training for rock climbing?

i work out my arms, chest, back legs ,

Since you're pulling your body up when you do rock climbing, I'd add some pull ups.  When there's a tree nearby with a low hanging branch, do a few.  Monkey bars are another good place to strengthen your arms while you're also having fun!  And definitely do some stretches.  A nimble body will help you scoot up that mountain.  Cheryl

Grip training - static holds, pinch strength, dynamic grip strength

Obviously lots of vertical pulling movements like pull-ups / chin-ups. And not always using the equipment at the gym - soccer goalposts are fatter and force your hands to work harder - towel chin-ups are another good option

Hip and shoulder mobility is also very important. If you can't reach that next hold becuase you can't work your body into position, you are making the climb harder than it needs to be. And not just muscular stretching. You want to improve the overall mobility of the joint.

Leg strength is also important - Look at adding in more single leg training for your legs - 1 leg squats, deadlifts, lunge variations - hip extensions & flexion movements using jump-stretch bands

 I am sure there is more, but a client is waiting and I have to go