What transmission light are you referring too?? The only light that is connected to the trans is the 6th gear light, there is no trouble light for the trans.
There is a engine light and a battery light, if the battery light goes on it mean there is a problem with the charging system if the engine light goes on then there is a DTC code.
If the 6th gear light goes on when you are not in 6th gear then you may have a speed sensor problem and you will need to pull the speed sensor and clean it or replace it.
Check for DTC codes there is a sticky in the troubleshooting section that tell you how to check for DTC's.
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08 FLTR candy red sunglo,with 2015 103 HO, V&H Dresser Duals with Monster Rounds, Power Vision tuner, Willy Shiny Wheels and Forks and a bunch of other stuff.