Here are the promised clips, all of them are from between 2:10 and 2:45 in the song, the glitch occurs around 2:27 and 2:35 in the song, so in these clips it would be around the 17 and 25 second mark.
Edit: a little update, many thanks to Wolfpack for sharing with me a file of STCFTHOTS from the Shine On boxset (Doug Sax remaster) I just added it to the clips below. Sadly this version also has the patch around 2:28 though

EMI 94 "Remastered" CD: http://snd.sc/tN4zEy
This is the version with the most obnoxious glitch. In order to "fix" the damaged part between 2:29 and 2:35 they just patched a rough and amplified clip of the next 5 seconds (2:35 - 2:40)
Shine On Boxset (Doug Sax 1992 Remaster): http://snd.sc/uADbeA
The real remaster, the patch sounds just like the one described in the Echoes version below. Overall it's also a better sounding remaster of the song compared to the EMI version released two years later. It has more clarity, just compare the cymbals (gong?) at the beginning of each sample, the EMI version is very murky while this one has richer high ends. Just like the Echoes and Discovery CDs the EQ here is closer to the bright Works version than to the dark sound of the EMI CD.
Echoes Best Of: http://snd.sc/tmbKN4
Here they half fixed the glitch, replacing the damaged part with a proper patch from the right segment, but you still can hear the pops where the patch begins and ends and funny stereo balance between 2:27 and 2:35. The drums suddenly jump from the left channel to the center, and the vibes jump from the center to the right channel. The left channel sounds kinda chopped and far in the distance. Compare that with the Works version where everything stays in place or flows evenly from side to side.
2011 Discovery CD (James Guthrie 2011 Remaster): http://snd.sc/ubfFd8
Almost identical to the Doug Sax 1992 remaster, it even has the same pops and tape noises in the exact same places of the Shine On version.
Works CD: http://snd.sc/swJX1M
This is how it should sound. No glitch there -- but a little more hiss than in the others.