This information on Cheney's draft dodging was posted in one of the comments sections on Eschaton. I thought it was interesting, to say the least:
1) Mr. Cheney enrolled in Casper Community College in January 1963; he turned 22 that month and sought his first student deferment on March 20, according to records from the Selective Service System.
2) After transferring to the University of Wyoming at Laramie, he sought his second student deferment on July 23, 1963.
3) Three weeks and a day after the Gulf of Tonkin resolution passed (giving President Johnson unlimited military force in Vietnam), Cheney married Lynn Cheney, thus qualifying for a third deferment.
4) Mr. Cheney obtained his fourth deferment when he started graduate school at the University of Wyoming on Nov. 1, 1965.
5) On Oct. 6, 1965, the Selective Service lifted its ban against drafting married men who had no children. Nine months and two days later, Mr. Cheney's first daughter, Elizabeth, was born. On Jan. 19, 1966, when his wife was about 10 weeks pregnant, Mr. Cheney applied for 3-A status, the "hardship" exemption, which excluded men with children or dependent parents. It was granted.
In January 1967, Mr. Cheney turned 26 and was no longer eligible for the draft.