切る => Give up, stop... N3
Happens next
切る/切れる/切れない => to do something completely to the end/unable to do; too much to finish/complete N3
禁止形 => Negative imperative form N4
[禁止「きんし」] => Don't do N4
Can, Should, Must
[切「き」]れない => Can't finish/complete A N3
Potential, Possibility
~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1
~をきんじえない(~を禁じ得ない) => can't help but; can't refrain from ~ N1
を[禁「きん」]じ[得「え」]ない => Can't help but do A, can't hold back from A (emotional response to something) N1
Will, Decision, Doing