No, the number four in Roman numerals is not always written as "IIII" in the context of clocks. The correct way to represent the number four in Roman numerals is "IV".
In most cases, whether it's in mathematical contexts or on modern clocks, "IV" is the standard representation for the number four.
The use of "IIII" for the number four on some traditional sundials and historical clocks is an exception rather than the rule, and it is more related to aesthetic considerations, such as symmetry in the clock face, than to the standard rules of Roman numerals.