Here is the full list of all 22 Timelie achievements. It takes around 8-10 hours to unlock all of the achievements on Windows.
Complete "Operation Skuld" relic challenge.
Collect the 4th Memento.
Collect the 3rd Memento.
Complete "The Most of Us" relic challenge.
Complete "3-2-1-GO-1-6-7-8" relic challenge.
Collect the 2nd Memento.
Complete "Well Planned!" relic challenge.
Collect the 1st Memento.
Complete "If It Is Broken, Don't Fix" relic challenge.
Complete "This Is Cat. Can You Hear Me?" relic challenge.
Complete "A Quiet Place" relic challenge.
Complete "It'd Be Too Damned Easy" relic challenge.
Complete "Time Waits For No One" relic challenge.
Complete "Retcon" relic challenge.
Complete "I Come in Peace" relic challenge.
Complete "Urnique" relic challenge.
Complete "Omen" relic challenge.
Complete the story of Timelie.
Watch the secret ending.
Obtained all Timelie achievements.
Complete "Splinter Cat" relic challenge.
Complete "I'd Like To Have That In Writing" relic challenge.