To preface: I used this a few months ago and it worked perfectly. This work around may have been fixed recently. Also the details below may not be perfect as my memory of a few months ago isn't perfect.

Cancelation Fee

Adobe expects 50% of the cost of the subscription you are canceling as a fee. Some evil corporate bullshit when many people forget about their free trials and it automatically renews into a year subscription. If you google "how to avoid adobe cancelation fee" or "get out of adobe cancelation fee" pretty much nothing of use comes up. If you are here because of the SEO Keywords I just put into the last sentence I hope the couple sections help you.

14 Day Refund Policy

Adobe offers a 14 day purchase refund policy on pretty much all products. While this is obviously meant to be used if your subscription was made in the passed 2 weeks it can be leveraged to avoid cancelation fees. Use this hyperlink to ensure that Adobe's Refund Policy can apply to the subscription you are trying to drop out of.

The Work around

If you are about to be given a cancelation fee, instead of just canceling your subscription; upgrade it to a different subscription. This option is typically offered when you go through the cancelation process. You can normally upgrade/change subscription for only a couple more dollars, but don't worry, if this method still works, you will get this money back.

Now that you have upgraded your subscription and paid a couple dollars. Just request a refund on that new purchase. Your subscription now falls under their 2 week refund policy. This refund will cancel your subscription, give you a refund on the upgrade, and most importantly get you out any cancelation fee.

Fuck Adobe and I hope this helps someone. Please let me know if you have any questions or if this doesn't work anymore. Its been a while since I've dealt with this so I'll do my best to help anyone out.