How to propagate the potted blue-eyed daisy (osteospermum) by cuttings? A detailed guide to the method
Someone online says this: the blue-eyed daisy roots very easily from cuttings, and you have to pinch it often, otherwise it shoots up very tall and then flops over, which looks ugly. Just stick the pinched tips in to root, and you can root a lot of them. It also comes in many colors, well worth growing! Use a white plastic pot, put a little yellow sand in the bottom for rooting, cover the top with clear glass, and give it indirect light. It roots very easily. Take 4 to 5 cm long tip cuttings and insert them in peat and perlite; water once the medium dries out.

The blue-eyed daisy can be propagated either by sowing seed or by cuttings. Cuttings of the blue-eyed daisy are very simple and root very easily; cuttings taken in spring and autumn have the highest rooting rate. Never take cuttings in summer, haha, because that will be very difficult.
Before taking blue-eyed daisy cuttings, prepare the substrate. Generally sand or other mixed media will do; the main thing is to ensure suitable water permeability, which favors rooting! After inserting the cuttings, water thoroughly, then just place them in a cool spot with indirect light. If conditions allow, you can cover them with plastic film or a plastic bag to keep in moisture.
Pinch the blue-eyed daisy twice during the growing season. When planting it out, you can add some base fertilizer, which helps flowering. If sunlight and water are adequate, the blue-eyed daisy can go from a toothpick-sized seedling to flowering in at most two months.
The blue-eyed daisy loves sun and loves heavy feeding and plenty of water, so if you want enough flowers for a long season of enjoyment, keep the fertilizer, water and sunlight generous. A single flower stays open for three to four days; remove spent flowers promptly to avoid wasting nutrients. At the end of summer I pinch it back once more, not too hard, because after a spring and summer the plant is fairly large and sprawly and the flower count has dropped somewhat. After pinching and top-dressing, one autumn brings a full blaze of flowers again!
The blue-eyed daisy generally flowers from April to October, and in warm regions it can keep blooming until November. The blue-eyed daisy is not cold-hardy. It dislikes intense heat, prefers a temperature of 18°C to 26°C, and likes a sunny spot. It prefers well-drained soil. The plant grows 20-60 cm tall, with basal leaves growing in a rosette and stem leaves alternate, usually pinnately lobed. The flower head is borne singly, the involucre is downy, the ray florets are white with a pale purple back, and the disc center is blue-purple.