Why do some models with multiple time points take so long to run?
Run times increase exponentially as you add time points, especially when there are missing data and/or when there are many indicator variables with many levels. When there are missing data, run times can get very long for large numbers of indicators and/or levels per indicator. If your indicators have many levels, it may help to re-code your indicators so that they have 2 or 3 levels. Alternatively, if there are not very many individuals with missing data, you could try removing those cases, if it is appropriate.