I wrote a translator about this name because I was getting no where. We are basically non-existent except for immediate family. So I wrote this translator and asked if it was possible that people immigrating over the last 100 years or so could of had the same last name transelated differently depending upon where they landed and here is what he said :

Your last name spelling is phonetically correct and I added it to the dictionary, so you may find there its original spelling in Ukrainian. The Ukrainian letter 'é' sounding like English 'y' in 'play' or in 'yes' might be spelled either following the Central-Eastern European manner as 'j' like in your name or closer to the English (and partially French) manner as 'y' like in the latin dancer's name. So both names are spelled in Ukrainian in same way and mean the same. One more way to spell the 'é' letter as 'i' is rather not phonetically correct.

So the last names Kryklywyj, Kryklywy, and Kryklywvyy are all the same. If you have one of these last names, or even one I have not come across that is very close, we may be related. If you have come to a dead end in your search as well, this could be why. We are most likely all interlinked.