The phrase "a modicum of stability" is correct and can be used in written English.
It is typically used to suggest that something that is not completely stable does have a stable element to it. For example, "With a modicum of stability in the economy, businesses have been able to adjust more easily to recent challenges."
"Mayoral control can provide a modicum of stability.
O.K., I've achieved a modicum of STABILITY again.
In this case, Gannett is offering Tribune a lifeline with potential to create a modicum of stability.
Beyond that, many Iraqis appear to be exhausted by the sectarian violence and eager for a modicum of stability.
Better to adopt the state-to-state paradigm while Oslo autonomy still offers a modicum of stability on the ground.
It became the militant wing of the Union of Islamic Courts (UIC), which briefly established a modicum of stability until driven out by Ethiopian forces in 2007.
Its aim is to provide a modicum of systemic stability by discouraging arbitrary arrest and prosecution.
She meets and becomes involved with Herbie (the sweet John Dossett), who takes over as the girls' agent, thereby providing a modicum of parental stability, but he hardly seems to matter to Rose.
2. Once a kind of strategic parity was achieved, it was the strategic arms negotiations, not a renewed arms race, between the two superpowers that provided a modicum of geopolitical stability -- more than the actual SALT and START limits on and reductions in nuclear-armed ICBMs, SLBMs, and bombers.
What he did not say, however, is whether he would be willing to talk to non-state actors like the Taliban in order to achieve a modicum of regional stability in the Afghanistan-Pakistan cross border region known colloquially as Pushtunistan.
In my eighth decade, I have reached a. modicum of stability.
