What does "seemed like he thrived in the clutch" mean exactly? And exactly what defines a clutch situation?
If you can define these things specifically, all the data exists to study what you're interested in. But I gotta say that there have been an awful lof of smart people looking for 30 years of evidence of "clutch ability" and "streakiness." As far as I know, every single one of these attempts has resulted either in (a) we can't find evidence of any such thing or (b) the evidence that such a thing exists is so small as to be almost negligible.
Jackson had some monster post-season series. Also some putrid ones. Check out: 1973 ALCS, 1974 ALCS, 1977 ALCS (when he wasn't even in the starting lineup for game 5), 1980 ALCS, 1981 ALCS, 1982 ALCS, etc. His career performance in the late innings of close games (from
www.baseball-reference.com) was below his overall performance in terms of batting average, on base percentage, and slugging percentage. If he had a unique ability to "turn it on" in the clutch, you would not expect that outcome.