I think you may have a claim based on the affidavit of support
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You need to be resident for 5 years to be eligible to apply for citizenship. You have been a LPR for more than 8 years, so you meet this part of the requirements.
As to the affidavot of support, no you cannot sue him for the affidavit of support. The affidavit of support is a contract between your husband and the government not you.
Elkhalil Law Firm, LLC
Disclaimer: This answer is for informational and educational use only. This answer does not create attorney-client relationship. For more details, I recommend a private consultation with an immigration lawyer.
You can not sue his based on the Aff. of Suport, if you have other grounds there is not enough detail, if he caused you physical injury you might be able to sue for that. Consult a civil attorney that is not an immigration issue. However if you are eligible to adjust to citizenship you definitly should.