Will the fuse blow for long time use?
A fuse, depending on it's characteristics can conduct a higher currency over shorter times, depending on load. Inductive and capacitive loads have high startup currency spikes for a short period.

And according to ref. [6] in quoted Wikipedia article below, the answer should be yes with a BUT.

Ref.: https://en.wikipedia.org/wiki/Fuse_(electrical)


  Rated current IN
  
  A maximum current that the fuse can continuously conduct without
  interrupting the circuit.[6]
  
  Speed
  
  The speed at which a fuse blows depends on how much current flows
  through it and the material of which the fuse is made. The operating
  time is not a fixed interval, but decreases as the current increases.
  Fuses have different characteristics of operating time compared to
  current. A standard fuse may require twice its rated current to open
  in one second, a fast-blow fuse may require twice its rated current to
  blow in 0.1 seconds, and a slow-blow fuse may require twice its rated
  current for tens of seconds to blow.
  
  Fuse selection depends on the load's characteristics. Semiconductor
  devices may use a fast or ultrafast fuse as semiconductor devices heat
  rapidly when excess current flows. The fastest blowing fuses are
  designed for the most sensitive electrical equipment, where even a
  short exposure to an overload current could be very damaging. Normal
  fast-blow fuses are the most general purpose fuses. The time delay
  fuse (also known as anti-surge, or slow-blow) are designed to allow a
  current which is above the rated value of the fuse to flow for a short
  period of time without the fuse blowing. These types of fuse are used
  on equipment such as motors, which can draw larger than normal
  currents for up to several seconds while coming up to speed.
  
  Manufacturers can provide a plot of current vs time, often plotted on
  logarithmic scales, to characterize the device and to allow comparison
  with the characteristics of protective devices upstream and downstream
  of the fuse.