Some more info...
LIMA POST OFFICE UNDER CHILEAN OCCUPATION.
On December 3, 1881 the Chilean administration opened the post offices at Lima and Callao to the public.
To avoid loss of revenue through the public using the Peruvian stamps they already had to hand, Admiral Patricio Lynch commander of the occupation force, ordered the stamp to be overprinted with arms of Chile.
Quantity of stamps overprinted with shield :

1c. orange (overp.blue) = 289.841
2c. violet (overp.black) = 283.800
2c. carmin (overp.black) = unknow
5c. blue (overp.red) = unknow
10c. green (overp.red) = 500.000
20c. carmin (overp.blue) = 9.800
Peruvian stamps overprinted with UPU in horseshoe by ABNC, and captured as part of a ship's cargo in the sea off Chimbote (a coastal town some 250 miles North of Lima) subsequently overprinted with the Chilean arms and issued December 5, 1881.
The arms was overprinted in Lima by "Imprenta de la Merced"
Quantity of stamps overprinted with shield over UPU horseshoe:
1c. green (overp.red) = 250.000
5c. blue (overp.red) = 500.000
50c. rose (overp. grey-blue) = unknow
50c. rose (overp.black) = 95.000
1 Sol blue (overp.red) = 48.300
Many of the remaining stamps were cancelled by favour in Lima in 1895.