Steven Horne writes:

The flowers, or more specifically the petals, of safflower are a great medicinal herb. The petals are also used in cooking as a cheaper alternative to saffron and as a source of dye.

Safflower has an affinity for the blood. It works somewhat like arnica to move stagnant blood and lymph in bruises and swellings. 

But, it doesn't have the toxicity of arnica. 

It’s used in traditional Chinese medicine (TCM) to activate blood circulation and eliminate blood stasis. Smaller doses are used to stimulate circulation and nourish the blood, while larger doses are used to remove stagnant blood. 

It can be applied topically and/or used internally to relieve bruises or any condition that’s causing a bluish-purple cast to the skin.

The idea of blood purifiers (also known as alteratives) is that they help to clean up the blood in morbid conditions, including skin eruptive diseases. 

Safflower has been used to help treat diseases like chicken pox, measles, and rashes. It helps move the blood to the surface to help the body clear out the disease. It's particularly indicated in these diseases when they are accompanied by a fever because moving blood toward the surface aids perspiration which helps break the fever.

What’s nice about safflower is that it makes a rather mild-flavored tea. This makes it a good remedy for sick children who are too young to swallow capsules.

Another major use I’ve made of safflower is for easing sore muscles after over-exertion.

Mr. Horne also says

If you tend to have low blood sugar and get sore muscles easily, you can drink the tea before exercise to prevent sore muscles. It also helps you exercise better by stimulating blood flow.

I know ANGIE use to take NSP SAFFLOWERS, when she suffered from GOUT. It has a tendency to neutralize the lactic acid in the body.

Many testimonials have claimed Safflower may be helpful for arthritis by improving circulation to the joints but needs to be combined with other herbs that promote healing of the joints.