Richard’s comments sum it up nicely, wood will decompose better on the soil surface in the presence of air, than in a heap where it will also use nutrients from green matter, over a long period. Thin twigs in short lengths is about as much woody matter as a domestic compost heap can handle.
On the other hand, adding thin ‘brown’ matter such as cardboard, scrumpled paper and leaves will help to keep air in compost heaps and to balance the decomposition of green matter such as grass and weeds. Half of each is ideal but in practice this is rarely achievable, just good to bear in mind. And not too much soil. In your case I would spread the shavings rich compost on top of soil, preferably around established plants, or as an autumn/winter mulch ahead of next spring’s sowing and planting.