From what I now no there is not a term for puzzle addiction
Addiction!
It is drug addiction.
The term that is coming into vogue is "Internet addiction," although it is questionable whether or not it constitutes an actual addiction.
Multi-addiction refers to addiction to more than one substance, process, or a combination of both. Poly-substance dependence is the term often used to describe addiction to more than one substance.
alcoholism
addiction
your temptation leads to addiction. for short term fun or pleasure.
mid term exam
addiction
depression, paranoia, insomnia, addiction, hallucination, forgetfulness, anxiety
tolarance
If you are referring to a crossword puzzle, the term you are looking for is a 'Feat'.