Some say that Gingrich would be a poor choice, because the feminists and other libertines of the left dislike him so much. But he would get the conservative Republican vote and the votes of many liberal men, who are fed-up with Hillary's policies.
Gingrich is a great "ideas" man and a great strategist but in a national election I don't know if he's a good candidate.
As say a VP or a SecState or even a Chief of Staff or NSA, fine, but I don't know about the top of the ticket.