The stock on my TLS has the rubber mat, but this is not a spacer, like Cyclecamper said, its a noise damper. Mine does not have a shoulder though, it's flat on both sides, same as my JT replacement, without the mat

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Ride it like you stole it.
From Randy's pages:
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...Newbie riders should simply skip the TL and go straight to the morgue.
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Mods so far: 2 Bros mufflers;homemade TRE;Airbox mod;'97 temp sensor mod;Iridium plugs;TLR bellmouths;OEM-style smoked screen;HH sintered pads front and rear;Metal Gear rotors with gold carriers;removed OEM mirrors and mounts;bar-end mirror with cut down stock weight as spacer; chopped rear fender; DID gold x-ring heavy duty chain;2 up on rear sprocket;damper mount mod for easy tank lifting;forks up-in-the-triples 7.5mm;Riflemans clear clutch cover and 1/5 throttle insert;Barnett clutch springs;Mini CF look indicators front; mini chrome LED's rear with resister;2.5wt oil in stock damper;yosh-box re-map;
To do list:Bitubo rear shock;1kg/mm front springs;Gold valves;'Busa MC with gold 6-pot calipers;braided front brake line;black paint;speedo-healer;TLR swingarm swap;aluminium chequer plate undertail;rob a bank;