As I don't have my rulebook with me, I'm going to have to make my interpretation in If Statement form. If the special rule "Ignores Cover" does not specifically say it doesn't apply to Jink cover saves, and If the special rule Jink does not specifically say it is immune to "Ignores Cover" and If Jink specifically says it grants yóu a 5+ "cover save" then Ignores Cover will deny the Jink cover save. Else, (if any of these If statements are not met) Ignores Cover does not deny the Jink cover save.
"Trying to make some sense of it all,
When I can see it makes no sense at all"
"Fools to the left of me,
Jokers to the right,
Here I am,
Stuck in the middle with you."