Removing superglue from finished furniture can be difficult and should be performed with the utmost caution.

furniturerepairman.com suggests using 600 grit wet or dry sandpaper and a hard flat sanding block.

Hold the block level when sanding the glue down. You may sand into the finish surrounding the glue, so be sure to keep it gentle.

If the glue is thick, you may be able tp mask the area around it.  Once it’s sanded level, you should then sand the area with 1200 grit sandpaper.  

To restore a high gloss finish, you may need rubbing compounds and polishes and some old fashioned buffing.  

Apply a coat of polish to finish.

For furniture with a satin or dull sheen,  grab a pad of 0000(tht’s 4 zero) steel wool and wool lube (Lemon Oil works too).  

Apply to the pad and go with the grain.

After the glue is removed, you will need to polis the rest of the table top so the finish sheen looks even. Be sure to go with the woodgrain in long even strokes and apply from one end of the table to the other.

To finish removing glue from a tabletop, wipe off the remaining oil and apply a wood polish.