"despite caution" is correct and usable in written English.
You can use it to indicate that someone is doing something despite the fact that it is not recommended or advised. For example, "The adventurer persisted with her journey despite the guide's caution."
Bianchi's car hit a recovery vehicle despite caution flags being waved.
On October 16, more than 40 members of Congress went on record seeking a travel ban against individuals from Ebola-afflicted West Africa, despite caution from Thomas Frieden, Centers for Disease Control and Prevention director, that a ban would hurt global efforts to fight the outbreak.
Despite caution about the practicability of these methods for many biological systems, the authors are aware of at least three such bent-crystal analyzers that are, or will be, available on XFI compatible beamlines, and it seems likely that this area will be explored in future applications.
Agnes told me that Simon had embarked on a dramatic expansion plan and discussed possible acquisitions with investment bankers, despite cautioning from the people who worked for him.
Or, for that matter, the North Korea summit he agreed to impulsively, despite cautioning by his advisers; will he really go through with it in late May or early June?
"Despite cautions from those who know more about Pakistan than I do, I continue to hold that view". In an earlier interview, Mr. Shekhar played down the Indian establishment's normal litany of complaints against Islamabad, whose leaders are routinely blamed by policymakers here for separatism in Punjab and Kashmir.
Looking steady but flushed in his first visit to the Capitol since his cancer was discovered in late May, Mr. Kennedy was quickly surrounded by senators who could barely keep from overwhelming him despite cautions to keep their distance because his treatments have weakened his immune system.
Despite their caution, Cook and Sapp underestimated the potential repercussions.
But despite his caution, Shladover believes strongly in the transformative potential of automated vehicles.
"Despite some caution, we expect the underlying business to continue to make good progress in 2008-09".
Despite her caution about a long-distance relationship, she found herself falling for him.
