What do the following words have in common?
tamper, spied, mister, decal, ashtray, uniformed, sneaky, refined
(In reply to
More complete solution by Gamer)
Not to be too nitpicky, but...
The fact that the deleted letters spells a word is a nifty fact, but is not something in common with those words. It is an artifact of the problem, and the ordering of those particular words.
Nevertheless, kudos to you for observing the fact.