All work and no play makes for a dull life.  But all play works worse, and playing in ways that hurts your productivity (be it work, study, or caring for people in your life) isn't a good alternative.

You need to play, and you need to play at times and in ways that don't slow down other parts of your life.  To do this, ask yourself what you have to do for those other parts.  Do you need to exercise, pack a lunch, pick up children, go to the grocery store, sleep...

Once you know the things that can't be moved in your life, such as work, study, and children, and you know what you have to do to be effective at those, you can see where you have time to play.  Perhaps you can go partying Saturday night?  Perhaps Tuesday evening is your social time?  Maybe weekends before your family wakes up you can go birdwatching?