Accepted answer
The short version: expect a partial signal at four to six weeks and something close to the full effect at three months, because that is how the measurement is constructed.
Working the same relationship the other way: a one-point fall in HbA1c corresponds to roughly a 29 mg/dL — about 1.6 mmol/L — fall in average glucose. That is the arithmetic that tells you whether a reported change is plausible.
Haemoglobin variants interfere with some assay methods and not others. If a result is wildly out of line with fingerstick or continuous-monitor data, the assay method is worth asking about before the biology is.
Conditions affecting red-cell turnover are a recognised cause of discordance between HbA1c and directly measured glucose, and are the first thing to check when the two disagree.
A two-tenths change is within assay variation and is not a trend. Two consecutive moves in the same direction might be.
If you need a four-week answer, use fructosamine or a continuous monitor rather than repeating the same three-month average.