Extreme examples of protein translation/use coupling/decoupling?
Proteins that are membrane localized or secreted would take time to become active or even become poised for activity. Membrane receptors may remain inactive until triggered by the appropriate ligand. Nonetheless proteins won't remain (inactive or active) for a very long time as constant turnover happens in the cell. 

One example, similar to what MarchHo mentioned in their answer (pre-proteins) is that of fibrinogen. Fibrinogen gets converted to fibrin when there is an injury and haemostasis reaction cascade is initiated. Fibrinogen has a biological half life (in its latency) of ~100 hours [ref].