Q: Meta analysis Cliff's delta Cliff's delta is an effect size typically recommended whenever the normality and homogeneity assumption do not hold---and thus, Cohen's d cannot be used.
However, I cannot see any reference indicating how to calculate its standard error, or how to run a meta analysis with Cliff's delta.
Do you know any?

A: If you use, or at least can read, R then there are at least two packages which can help which compute Cliff's $\delta$ and its sampling variance.
effsize  https://CRAN.R-project.org/package=effsize
orddom https://CRAN.R-project.org/package=orddom
Once you have the standard errors then there seems no special step needed to compute meta-analysis in the standard inverse variance weighted way.
