Protein life times are, on average, not particularly long, on a human life timescale.
I was wondering, how old is the oldest protein in a human body? Just to clarify, I mean in terms of seconds/minutes/days passed from the moment that given protein was translated. I am not sure is the same thing as asking which human protein has the longest half-life, as I think there might be "tricks" the cell uses to elongate a given protein's half-life under specific conditions.

I am pretty sure there are several ways in which a cell can preserve its proteins from degradation/denaturation if it wanted to but to what extent? I accept that a given protein post-translationally modified still is the same protein, even if cut, added to a complex, etc. etc.

And also, as correlated questions: does the answer depend on the age of the given human (starting from birth and accepting as valid proteins translated during pregnancy or even donated by the mother)? What is the oldest protein in a baby's body and what is in a elderly's body? How does the oldest protein lifetime does in comparison with the oldest nucleic acid/cell/molecule/whatever in our body?

Crystallin proteins are found in the eye lens (where their main job is probably to define the refractive index of the medium); they are commonly considered to be non-regenerated. So, your crystallins are as old as you are! 

Because of this absence of regeneration, the accumulate damage over time, including proteolysis, cross-linkings etc., which is one of the main reasons why visual acuity decays after a certain age: that is where cataracts come from. The cloudy lens is the result of years of degradation events in a limited pool of non-renewed proteins.

Edit: A few references:

This article shows that one can use 14C radiodating to determine the date of synthesis of lens proteins, because of their exceptionally low turnover: Lynnerup, "Radiocarbon Dating of the Human Eye Lens Crystallines Reveal Proteins without Carbon Turnover throughout Life", PLoS One (2008) 3:e1529

This excellent review suggested by iayork (thanks!) lists long-lived proteins (including crystallins) and how they were identified as such:
Toyama & Hetzer, "Protein homeostasis: live long, won’t prosper" Nat Rev Mol Cell Biol. (2013) 14:55–61
