To see a syringe in your dream symbolizes health issues, illness, or drug use.
Alternatively, the dream may be a metaphor that you need to inject more enthusiasm, fun, or determination into your life. Consider also the contents of the syringe and how it would affect you.
From a Freudian perspective, the needle and its contents represent the penis and sexual intercourse.
To dream that you are removing syringes from your arm means that you need to rid yourself of the toxic influences in your life.
To see a broken one, foretells you are approaching a period of ill health or worry over slight mistakes in business.