The antonyms for the phrase "gave inkling" include "concealed," "withheld," "kept secret," and "obscured." When you give an inkling, you are offering a hint or suggestion about something. However, if you conceal or withhold information, you are actively keeping the details from being revealed. Similarly, if you keep something a secret, you are not giving any inkling or indication about it. Finally, if you obscure something, you are deliberately making it difficult or impossible to see, understand, or interpret. Therefore, the antonyms for "gave inkling" all involve actions that prevent information from being easily accessible or understood.