I'm looking for something like ImageMagick identify.
I already know about fc-scan & otfinfo that work well for .otf fonts,
but I couldn't find anything for WOFF files.
Have a look at woffTools :
woffTools is a collection of command line tools for verifying and examining WOFF files. This is also a Python package that can be used to manipulate and examine WOFF files just as you can examine SFNT files with FontTools.
woff-validate - Validate a WOFF file and output an HTML report.
woff-info - Generate an HTML file containing information about a WOFF file.