Very little, and it is worth being direct about that.
The only measured Indian glycaemic index for besan chilla comes from a single thesis, which reported a mean of 60.08 with a standard deviation of 24.54 in non-diabetic subjects. An interval that wide is not a usable number. The frequently quoted figure of around 35 for besan or besan chilla has no traceable published source behind it, and should not be relied on by anyone making decisions about their blood sugar.
The same work measured steamed khaman, another gram flour preparation, at around 45 overall, again with a wide spread.
The nearest controlled evidence for a cooked chickpea-flour item comes from Lebanon, where a randomised crossover study replaced 30 per cent of the white flour in a flatbread pastry with pre-processed chickpea flour and measured the response in sixteen healthy women. It found modest reductions in glucose and insulin that did not reach statistical significance, and no significant effect on how much participants ate afterwards.
No controlled trial has tested besan chilla, or any equivalent Indian gram flour dish, against a comparator for weight loss or glycaemic outcomes. Everything sold as evidence for the chilla is really evidence about chickpeas, measured in a different food, usually somewhere else.