Once you have listed a kanji combination in the dictionary, you can do one of the following things:
Inspect the kanji. A doublecklick on the dictionary item opens the kanji info dialog with all corresponding kanji. The usual kanji information as readings, meanings and many other details is displayed. From there it is very easy to start a new query with any of those attributes.
Inspect the components. Long kanji combinations are often composites of several shorter kanji combinations. The "Analyze" function in the dictionary dialog lists all meaningful kanji combinations that are included in the current kanji combination. This makes the internal structure of long kanji combinations easy to understand.
Find longer combinations. Simply run a new query in the dictionary to find longer kanji combinations that have the current kanji combination as a composite. This gives you some examples in what other context the current kanji combination is used.