Reading the digits from behind is the same as reflecting them in a vertical line of symmetry. This means $0$ and $8$ are read as themselves, and $2$ and $5$ are swapped. Note that the digits are read in the opposite order

Since the time is before 10:00, the first hour digit must be a 0. When read from behind, this means the last digit must also be a 0.

Since the time is between 3:00 and 10:00 and the second hour digit must be one that reads backwards as another digit, it must be either 5 or 8.

Since 08:80 is not a valid time, the time must be 05:20.