Add lacheck or chktex support.

[guyomes]

This plugin is great. It would be nice to have also a light syntax checker while editing latex code, in the spirit of vim/syntastic or emacs/flycheck.

[rschroll]

That would be great. Unfortunately, I don't see myself working on that
any time soon. Pull requests are welcome, though, as are any questions
about implementation.

That said, I wonder if a better solution would be a general
syntax-checker plugin, which could be given a TeX mode. The only
example in the plugin repository seems to be Rubocop, for Ruby. I
don't know how easy that would be to extend to other languages.

[rschroll]

A related project would be to parse the output of the compilation to
highlight errors in the source code.