What can I use instead of a compression bandage?

Could you elaborate on potential alternatives to a compression bandage, given that they are often used to apply pressure to wounds to control bleeding and reduce swelling? Are there any household items or readily available medical supplies that could serve a similar purpose, such as clean cloths or elastic bandages? Are there any considerations I should make when choosing a substitute, such as the size of the wound or the level of bleeding? Is it SAFE to use non-traditional methods, or should I always seek medical attention for proper wound care?