I'm not Japanese and I'm still kind of a beginner in the grand scheme of things, considering I've kinda been slacking but
「握りしめてる」→「握りしめている」 (in the current state of holding onto) in colloquial speech the 「い」 often gets dropped)
「ん」→「の」 (explanatory particle that indicates an explanation to something) in colloquial speech the の often becomes ん
「だ」→「である」 (「だ」 is essentially the casual version of 「です」, also formed from a shortening of 「である」)
and then in this case, as 「もの」 means "thing" I would personally translate 「だもの」 or 「だもん」 to something like "it's that..." (but I never formally learned this, I just assumed based on what I've known and the conversations I had)
so in total I would say something like "it's that I'm holding onto you forever"
and I checked with DeepL and I guess you shouldn't trust me at all
I need context to be sure but I guess it's more like "it's that you've been holding onto it forever" but that could still be completely wrong so don't listen to me, just listen to the experts who will probably write a reply right below me... I just wanted to try out helping in this way but I'm used to conversations and not just isolated sentences