I cannot increase the horizontal spacing between the label and the subexample, which is problematic with large grammaticality judgments.
\documentclass{article}
\usepackage{linguex}
\begin{document}
\setlength{\Exlabelsep}{3em}
\setlength{\Exlabelwidth}{2em}
\ex. Main level
\a. Sublevel
\a. Subsublevel1
\b. Subsublevel 2
\b. **Subsublevel 3
\end{document}

