Scotch Tape On Lincolns

First give them a soak in distilled water. If any tape residue remains, soak the coin a bit in acetone. If you are not familiar with acetone, do a search on the board- there is plenty of info here. Good luck!

Be warned- it is possible that the tape adhesive has permanently toned the coins brown.

For me, water and acetone did next to nothing. However, methylene chloride (at biokemist's suggestion) removed all traces, you can barely even see where it was.

As already noted if the coins are not rare, purchasing numerous cleaning agents may well not be worth the adventure. If the coins are in your opinion worth the trouble, then there are many things to consider. First of all, as already noted, there are many threads here about the usage of chemicals for just that problem. Next, if you are not sure of the type of tape used, that would indicate you are also not sure of the gluey substance left on the coins. The usage of strange chemicals, such as the Methylene Chloride, may or may not react with such unknown substances ruining the coins further.
Meanwhile, back to distilled water, try using a hot plate of sorts with the coin and distilled water in it. Never used metal pans. Heat the water but do not allow to boil. Your not cooking the coin, just loosening up the glue. If you follow up with Acetone, also, use only glass utinsils. This also means do not use a metalic spoon or fork to add or remove the coins.
If all else fails, then anything else becomes a risk using other substances. You'll read about WD-40, Ketcup, Lemon Juice, etc. but they are all at the risk of your coins.
I always warn people that they are your coins so if ruined by others suggestions, including mine, they are still your coins.
Bet a Butane torch will work.

If you try the heated distilled water method, make sure it is a glass type container and you'll be able to see any gluey substance floating. It may take a few minutes or longer. Distilled water will not harm the coins but excessive heating could cause the Copper to react with any Oxygen, Chlorine, Florine, etc. in the water which is why you should use distilled water only. Remove your coins with glass utinsils and place on a soft, clean cotton or similar material. You could carefully blot dry with a similar cloth or blow dry with a hair dryer on cool or warm setting. Do not use a hot setting.
If there is any left you could try again or possibly use the Acetone system. If using the Acetone, do not be afraid of excessive exposure. I've had Copper coins in a glass container with Acetone for 2 days and not problem. Some claim sunlight will create a reaction with the Acetone and the Copper so I left the glass in the sun for 2 days, nothing.
For more detailed comments on such attempts, do as already noted and search this forum for additional information.
As always, remember those are your coins and what you do to them is up to you because they will still be your coins.

G'day from Oz, several times, I have bought coins from people with no knowledge or interest. They often "sticky tape" the coins to a card, and put that in an envelope for postage.
Anyway, the standard advice - "don't clean coins" - isn't much help when your coin has "gum" on it, picking up more and more crud.
I wouldn't expect water to work.
What I've found most effective is -
alcohol, sold in Oz as "Methylated spririts";
and if that doesn't work -
Zippo fluid (naphtha).
I clean one coin at a time, and I rub it between my fingers. I'm told that the fibres in paper or any type of cloth may be abrasive.
Zippo fluid is handy, because the bottle includes a tiny nozzle, which facilitates application of very small quantities. It is highly flamable, and possibly toxic, so take care when using it, and I always wash up with soap afterwards.
Peter in Oz