This is why delta time accumulator is preferred over using clocks, something like this would be best:

    float accum = 0;
    while (running) {
        poll_input();
        poll_network();

        accum += delta_time;

        while (accum >= tick_time) {
            accum -= tick_time;

            update_ui(tick_time);
            update_anims(tick_time);

            if (!paused) {
                update_entities(tick_time);
            }
        }

        render();
    }