The crossword solutions for the term 'words with 'BUMP' or 'RUN'' are 'INTO, ' which is a four-letter word. The word 'INTO' can be used in many different contexts, but it is most commonly used as a preposition to indicate movement or direction. It is also used to indicate a change of state or condition. For example, one might say 'I'm going INTO the kitchen, ' or 'He changed INTO a different shirt.' In the context of words with 'BUMP' or 'RUN, ' 'INTO' could be used to describe something that has been bumped or RUN INTO, such as 'He bumped INTO the wall, ' or 'She ran INTO the tree.'