No, under normal circumstances, the hour hand of a clock or watch does not melt from moderate heat. Clocks and watches are designed to withstand typical environmental conditions, including moderate heat.
The materials commonly used for clock and watch hands, such as brass, stainless steel, or other alloys, have melting points significantly higher than the temperatures encountered in everyday environments. Moderate heat, such as that generated by ambient room temperature or exposure to sunlight, should not cause the hour hand to melt.
However, it's worth noting that extreme heat, such as exposure to fire or very high temperatures, can potentially damage or deform the materials used in clock or watch hands. In such cases, the hands may warp, lose their shape, or become damaged.
It's always a good idea to avoid subjecting timepieces to extreme heat or exposing them to situations where the temperature exceeds the recommended operating range. If you have concerns about a specific clock or watch, it's best to refer to the manufacturer's guidelines or consult a professional for advice.