How do you animate menu with framer motion on-click?

you could use this method that is given in the examples section of the framer motion documentation.

Framer Motion API Documentation

import { motion } from "framer-motion"

const variants = {
  open: { opacity: 1, x: 0 },
  closed: { opacity: 0, x: "-100%" },
}

export const MyComponent = () => {
  const [isOpen, setIsOpen] = useState(false)

  return (
    <motion.nav
      animate={isOpen ? "open" : "closed"}
      variants={variants}
    >
      'Menu Content'
    </motion.nav>
  )
} 

<MonkeyPic rotate={showFistBump} />

// ...

// Then switch animation variant depending on rotate prop

const variants = {
  rotate: { rotate: [0, -30, 0], transition: { duration: 0.5 } },
  // You can do whatever you want here, if you just want it to stop completely use `rotate: 0`
  stop: { y: [0, -10, 0], transition: { repeat: Infinity, repeatDelay: 3 } }
};

const MonkeyPic = ({ rotate }) => {
  return (
    <div>
      <motion.img
        variants={variants}
        animate={rotate ? 'rotate' : 'stop'}
        id="monkeyFace"
        src="/images/Monkey.png"
      />
    </div>
  );
};