This was my first and only CD player.
I thought I remember seeing some CD players that had upwards of 30-second skip protection!
EDIT: Hah, found one on Amazon with *60* seconds of shock protection! I guess this is for people who like to go running and stuff. Ridiculous!
With the exception of really early anti-skip Discmen (which was mechanical anti-skip), and selected models which had larger buffers, anti-skip equipped players - especially the later commodity models - would compress the audio data on the fly, cache it, then decompress / play it back to maximise the effectiveness of the limited amount of memory for anti-skip (many had switchable settings for this).
The problem with this of course is that your audio quality suffers - because the on-the-fly compression is being done by an early hardware codec with performance worse than even Bluetooth A2DP's SBC.
... which is why some portable audiophiles with their 'late-vintage' Discmen made me laugh when they were espousing that their Discmen had much better sound quality than my MP3 players because they were playing back the original CD data. In reality, not quite. - but the for most, perception and assumption is everything in audio.
Ok but what if it..... it has like 3 minutes of skip protection just don't throw it! haha. Horrible conversations from high school