"Unlimited skips" means you're allowed to move to the next song without any restrictions or limits while listening to music or a playlist. Full definition
Choose from over 10 Million Songs for free with unlimited skips study pass certification exams. (petesgrillandpizza.com)
iTunes Radio has been refreshed as Apple Music Radio, which offers unlimited skips and a range of genre - specific stations curated by radio DJs. (scientificamerican.com)
Premium plans also include unlimited skips and the ability to download songs for offline listening. (thesimpledollar.com)