Personally would just give the gun a good wipe down and if necessary a light, non-agressive cleaning. Have thus far resisted the temptation to use the takedown feature on any of my guns that are so equipped. Ymmv…..

Kirk Fitzgerald said
Found a youtube video on how to use the takedown feature.   

Clean under the barrel bands so you don’t scar the tube.  Soak the area for a few days, periodically twisting the tube and cleaning.  Move the assembly out a little and clean the area. Repeat the soaking and cleaning until you are sure there is no grit between the tube and the band.

Seen a lot of messed up finishes because the gun was not cleaned first.

If you havent already gotten it apart, as cwatcher says, be sure to clean and lube the magazine tube the best you can before unthreading, as mentioned, grime can scratch the finish on the magazine tube.  Once the mag tube is unscrewed and clear of the receiver, open the bolt/lever, then rotate the barrel assembly and remove. 

Wouldnt do too much other than a good wipe down and cleaning of the bore.  Wouldnt buff out anything or try to lighten the stocks.  You could get into a situation real quick that could be detrimental to the condition of the rifle.

If possible could you post a pic to see what youve got.  Would like to add to my 1892 TD survey.  Would need the caliber and SN, barrel shape, mag length, etc.

Chris