Adjectives can't be in verbal tenses, no present tense, no past tense, no future tense. But for the record...
Infinitive: to addict
Past simple: addicted, continuous: was addicting.
Present simple: addict, continuous: is addicting.
Future simple: will/is going to addict.
I'm not sure if all of these can be used in the case of this particular word, what I am sure about is that the list is not complete in regards of verbal tenses. And that the word "addictive" is not a verb, but an adjective. (And because of that, 90% of my post is irrelevant, but we are in Flood, aren't we?)