I turned 66 on 3 July 2016 and, though divorced in 2012, was married to my former spouse for over 25 years. I had hoped to collect spousal benefits and simultaneously delay my own benefits until I reached age 70. However, I was told by a Social Security agent that this is no longer possible, due to some change in regulations in April 2016. Is this true?

Beverly,
No, this is not true. Since you were born before 1 Jan 1954 you can file a restricted application for spouse's benefits only, if your Ex-husband is at least age 62. and delay your retirement benefit until age 70. If the Social Security representative doesn't agree, then aslk to speak to a supervisor or a Technical Expert.
Best,
Mike