DFS usually means "disease-free survival" in a cancer context. The exact meaning can be tricky to pin down, though; some groups don't consider a local (or contralateral) recurrence a metastasis, so you have to read the paper carefully.
These data are often used for Kaplan-Meier analysis, where you need to know
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If the event occurred, when did it occur
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If the event did not occur, what is the last time-point for which I have follow-up?
Usually this is two columns (dfs.e and dfs.t or some other names), as you've described. There is also usually a third column with some distinguishing category (treated/untreated, predicted good outcome/predicted bad outcome, etc). The "survival" library in R is useful for this analysis.