Irish Spring soap does work to repel some animals such as mice, rabbit and deer.
But for skunks the Irish Spring Soap will not do anything to repel the skunks and it's just an old wives tale that Irish Spring Soap Repels Skunks.
You can pour some ammonia into a spray bottle and spray areas with the ammonia where you want to keep skunks away and the ammonia will repel the skunks.
Skunks hate the ammonia smell and will avoid those areas or you can also buy some pepper spray for skunks and spray areas where the skunk may be hanging out and that too will keep skunks away.
You can also take old rags and soak the old rags in ammonia and then place the ammonia soaked rags near areas you want to keep the skunks away and the skunks will get away from those areas.