In One Day in the Life of Ivan Denisovich, Shukhov would kill for Hermione Granger's Time Turner. He could get all his little errands done and not have to run around in a panic all the time. Of course, then his day would be even longer, practically never-ending. Days are already nearly never-ending in the camp. All the days seem to run together into endless prison sentences and non-stop work, with no personal time at all. For Shukhov, there's practically no time to relax; survival is highly time-consuming.
In the bizarro world of the camps, time is a zek's most precious commodity, aside from food. There's never enough time, its easily stolen, and all zeks are greedy for precious minutes of personal time. Time is perhaps the worst thing that people in the camp lose. Years of their lives are eaten up in endless prison sentences and long work-days. Zeks aren't even allowed watches; the guards tell time for them. Ultimately, time is a paradox, or a seeming contradiction, in the world of the camp: there's too much of it and not enough of it.
Time, and especially time to the self, is more important than food for a prisoner since survival is highly mental.
Shukhov has a very strong and accurate sense of the passage of time, which is a way for him to fight against the camp life that tries to control and steal his time.