I'm personally a pro-semicolon sort of guy, but there is a compelling argument for the alternative, which is frequently not given a fair voice. As with all coding style arguments this will be a never-ending debate with no reasonable conclusion. Do what you and your team feel more comfortable with.
If you do go for a frugal semicolon approach, make sure you and your team properly understand the automatic semicolon insertion (ASI) and statement termination rules. That is definitely a good thing to understand whatever your decision.
With respect to minification: If you don't want to risk the potential headache of a minifier bug and the associated burden of reporting it and fixing it (or waiting for a fix) because it's not doing ASI properly, then don't rely on ASI.
- Isaacs (Node.js maintainer, and therefore minification agnostic for the purposes of this question) on the subject
- He recommends this excellent impartial analysis of the ASI rules
