"delicate precision" is correct and usable in written English.
You can use it to describe something that requires a careful and detailed approach. For example, "The surgery required delicate precision, so the doctor took great care in performing the procedure."
He is a fascinating dancer who has grown with time from finicky, delicate precision to rough-hewn majesty.
These structures are not masterworks of form and function, executed with delicate precision in glass and stone.
The disheveled surfaces may often say Rauschenberg, but Joseph Cornell's delicate precision is frequently the more useful analogy.
No one can discount Webber's multiple talents -- how many big lugs can pass with the delicate precision of a mapmaker?
Two short pieces by Villa-Lobos were her openers, the Prelude No 1 and Choros No 1, both of which she dispatched with delicate precision and bold skill.
The classical ballet roots of the bolero were charmingly displayed in the Parra-Albeniz "Castilla," danced with delicate precision by Marisol Moreno.
In tactile micro coordinate metrology, miniature probing systems are required to allow geometric measurements of miniature, delicate, high precision components.
They bring a delicate balletic precision to the looped shorthand choreography of their repetitive daily routines (the scramble upright, the launch forward into press-up position and the roll sideways back onto their bunk).
The movement, however, has a delicate, understated precision; a low center of gravity, which pulls the dynamic down to the ground, in contrast to ballet, which tries to create the illusion of levitation; and filigreed, ornamental arms that make it recognizably of another place and time.
A vigorous dance requiring delicate balance and precision, it was probably originally a victory dance for a solo male dancer, performed after battle.
Crucially, the delicate balance of precision at different hierarchical levels has a profound effect on veridical inference – and may also offer a formal understanding of false inference in psychopathology (Adams, Stephan, Brown, Frith, & Friston, 2013; Fletcher & Frith, 2009; Friston, 2013).
