1.js

export function animationInterval(ms, signal, callback) {
  // Prefer currentTime, as it'll better sync animtions queued in the 
  // same frame, but if it isn't supported, performance.now() is fine.
  const start = document.timeline ? document.timeline.currentTime : performance.now();

  function frame(time) {
    if (signal.aborted) return;
    callback(time);
    scheduleFrame(time);
  }

  function scheduleFrame(time) {
    const elapsed = time - start;
    const roundedElapsed = Math.round(elapsed / ms) * ms;
    const targetNext = start + roundedElapsed + ms;
    const delay = targetNext - performance.now();
    setTimeout(() => requestAnimationFrame(frame), delay);
  }

  scheduleFrame(start);
}

2.js

// Usage
import { animationInterval } from './1.js';

const controller = new AbortController();

// Create an animation callback every second:
animationInterval(1000, controller.signal, time => {
  console.log('tick!', time);
});

// And to stop it:
controller.abort();

I came up with a similar algo that compensates clock skew as it goes. It will compensate end to end for slight delays in setTimeout, requestAnimationFrame, and of course callback executions. So if any of these skew the clock, it will tell the next run to execute a bit earlier. As a bonus, I also made it compatible with useEffect for react users.

type ExecutionControl = { stopped?: true; animationId?: number; timeoutId?: NodeJS.Timeout };

export function interval(cb: () => void, ms: number, exeCtl: ExecutionControl = {}) {
  if (exeCtl.stopped) return;

  const start = performance.now();
  exeCtl.animationId = requestAnimationFrame(() => {
    exeCtl.timeoutId !== undefined && cb();
    const end = performance.now();
    const diff = Math.round(end - start);
    const timeout = Math.max(0, ms - diff);

    exeCtl.timeoutId = setTimeout(() => {
      return interval(cb, ms, exeCtl);
    }, timeout);
  });

  return () => {
    exeCtl.stopped = true;
    exeCtl.timeoutId && clearTimeout(exeCtl.timeoutId);
    exeCtl.animationId && cancelAnimationFrame(exeCtl.animationId);
  };
}

Fwiw, the OP solution isn't incompatible with useEffect.

useEffect(() => {
  const controller = new AbortController();

  animationInterval(1000, controller.signal, () => {
    // Runs every second
  });

  return () => controller.abort();
}, [...whatever]);