Is an acknowledgement worth putting in a CV? Of course, the bread-and-butter of an academic CV are degrees and publications, and citation index is a primary means of judging the value of said publications, but it's also common for academics to give out acknowledgements to people who contributed to a paper, but not in a way deserving of a citation or authorship.

Is a history of being thanked in acknowledgements worth putting on one's CV or otherwise touting in the context of academic faculty appointments?

I can come up with arguments both ways. On the one hand, an acknowledgement without a citation or authorship implies that one's contribution was non-academic in nature or, if academic, was too minor to merit being cited or granted author status, but on the other hand, an acknowledgement could be seen as demonstrating so-called "soft skills". For example, one might claim,


  My biochemistry citation index speaks for itself, but also see that Dr. Jones acknowledged me for "faithful emotional support while [he] was undergoing cancer treatment while also teaching a heavy load", and Dr. Smith acknowledged me for "standing firm in support of the department's goals and [her] projects in particular as major funding cuts rocked through the university in 2018 and 2019". I have thus demonstrated excellent hard academic skills as well as organizational and interpersonal soft skills, and that is why I am the best candidate for department chair!
No. We don’t hire people to be our friends or to offer us emotional support, and I don’t even understand what “standing firm in support of the department’s goals” means. We hire them to teach, do research, and do other more or less well defined tasks, none of which are evidenced in any meaningful way by being mentioned in the acknowledgements to someone’s paper.

You can be the world’s most amazing, virtuous, supportive person, and that’s great, but no one will hire you for an academic job for those qualities. For your CV, focus on quantitative, measurable achievements that hiring institutions actually care about.