I wouldn't even think about doing airguns without a chronograph. They are indispensable to knowing what you have and how it's keeping up.
There's no telling what even a brand new German springer shoots without a chrono. They commonly have (mostly fixable) issues straight off the factory. Any used gun, or a gun that has been worked on in any way, and it's a complete guessing game without a chrono. And contrary to one opinion upthread, many, many guys work on their own springers. To me, personally, that's easily one half of the game / enjoyment.
Springers are hard enough to shoot accurately that you'll be deep in a bog of uncertainty if are unable to isolate variables. Your shooting may not be accurate / consistent because of you, or because of the gun. The chrono tells you when it's the gun. There are dozens of potential reasons why a gun doesn't shoot up / down to spec, or not consistently enough. Just a piston seal that's a little too tight can slice 100 fps off the MV, or a gun that is dieseling a little too much can spread velocities by 30 fps, but you can't tell (easily), without a chrono.
With fixed distances, you could do with low velocities and still be highly accurate, but you couldn't do with inconsistent velocities.