| Hier, across the Rhine | 22 |
| Hierarchical data structure | 27 |
| Hierarchical level: Abbr. | 25 |
| Hierarchy chart's top box | 29 |
| Hierarchy of what eats what | 27 |
| Hierarchy within a group | 24 |
| Hierarchy, Bard-style? | 22 |
| Hierarchy, so to speak | 22 |
| Hierarchy-chart topper | 22 |
| Hieroglyphic creatures | 22 |
| Hieroglyphic representation | 27 |
| Hieroglyphic stone locale | 25 |
| Hieroglyphics creature | 22 |
| Hieroglyphics creatures | 23 |
| Hieronymous Bosch masterpiece | 29 |
| Hieronymus Bosch, for one | 25 |
| Higgins's fair lady | 23 |
| HigginsClark, the novelist | 26 |
| High "measure" | 24 |
| High "Si!"s? | 22 |
| High altitude instruments? | 26 |
| High and low indicators | 23 |
| High and low phenomena | 22 |
| High and low water lines | 24 |
| High and reverse, e.g. | 22 |
| High and softly resonant | 24 |
| High bluff, in Scotland | 23 |
| High boots for fishermen | 24 |
| High branch, for short | 22 |
| High card in a yarborough | 25 |
| High card up one's sleeve | 29 |
| High card, in many games | 24 |
| High circulation increaser | 26 |
| High Court arrival of '06 | 29 |
| High court's Kagan | 22 |
| High degree of excitement | 25 |
| High end of many scales | 23 |
| High expectation for Eliza? | 27 |
| High explosives, for short | 26 |
| High fever at the Forum? | 24 |
| High fever for Caesar? | 22 |
| High figs. for Einsteins | 24 |
| High figs. for geniuses | 23 |
| High flier at the beach | 23 |
| High fliers under a cloud | 25 |
| High fortress in Scotland | 25 |
| High ground at Graceland? | 25 |
| High ground in Dutch lowlands | 29 |
| High ground is above it | 23 |
| High guy in Dubai (Var.) | 24 |
| High heating-cost periods | 25 |
| High heel wearer's hazard | 29 |
| High holdings, perhaps | 22 |
| High honor for a feudal lord? | 29 |
| High in alcohol content | 23 |
| High in an annoying way | 23 |
| High in the French Alps | 23 |
| High in the French Alps? | 24 |
| High in the Sierra Madre? | 25 |
| High IQ society member | 22 |
| High jump or discus, e.g. | 25 |
| High jumper of nursery rhymes | 29 |
| High level of excitement | 24 |
| High level of respectability | 28 |
| High Life alternatives | 22 |
| High line in the Middle East | 28 |
| High living on Rodeo Drive? | 27 |
| High mark with low effort | 25 |
| High martial arts rank | 22 |
| High men and low women | 22 |
| High Middle Eastern title | 25 |
| High military muck-a-muck | 25 |
| High Moody's rating | 23 |
| High mountain, to Henri | 23 |
| High mountain, to Italians | 26 |
| High muck-a-muck, in Britain | 28 |
| High mucky muck, for short | 27 |
| High naval rank (abbr.) | 23 |
| High Navy title: Abbr. | 22 |
| High net worth individual | 25 |
| High number on the pool table | 29 |
| High official in India | 22 |
| High on highballs, e.g. | 23 |
| High on the draft list | 22 |
| High on the Mohs scale | 22 |
| High ones may produce a roar | 28 |
| High or after follower | 22 |
| High or elementary (Abbr.) | 26 |
| High or low phenomenon | 22 |
| High or low playing card | 24 |
| High overhead business? | 23 |
| High peak in the Cascades | 25 |
| High place near Aberdeen? | 25 |
| High point at the shore | 23 |
| High point for Butterfly | 24 |
| High point for Sputnik | 22 |
| High point for stunt men | 24 |
| High point in 1980 news | 23 |
| High point in a career | 22 |
| High point in a Western? | 24 |