'tiny importance' is correct and usable in written English.
You can use it to describe something that is of very little importance or relevance. For example, "The tiny detail had little importance in the grand scheme of things."
But the bloodshed was real and the world could only hope that the spell would be broken--that in the minds of the men in power the actions of little bands of individuals and the survival of the world would be disentangled, the tiny countries would shrink back to their true tiny importance--returning it to a perhaps more prosaic but safer condition.
"Words have the tiniest importance.
As near-identical twins they attach supreme importance to tiny details like this.
As France lost its other North American colonies from Canada to Louisiana, the little archipelago (two main islands and a smattering of tiny ones) gained symbolic importance.
You can put so much importance on tiny little things, and then you change companies and think: Oh, it doesn't matter at all in this place.
4. Interest costs are tiny and of little importance.
Many are now more or less indispensable, primarily because of their importance in tiny, high-powered and extremely durable magnets used in everything from iPhone components to the Pentagon's missile guidance and satellite communications systems.
Our point is that the proportion of evolutionary biologists working on drug resistance is tiny compared with the importance and size of the problem – and the conceptual interest of the issues involved.
"The chanting is unjustified but by stopping play you give a sense of importance to a tiny minority of troublemakers.
Here, for example, from the chapter called "Words," is her take on a passage from Paul Bowles's story "A Distant Episode": "The contents of the Professor's 'two small overnight bags full of maps, sun lotions and medicines' provide a tiny mini-course in the importance of close reading.
The proposed 3He sandwich configuration, Figure 1, enables the control of vertical gradients of the magnetic holding field with high precision, whose knowledge and control is of great importance for tracing tiny geometrical phase effects in the nEDM spectrometer.
